"Your president announced his campaign by talking about building a wall," she started, which prompted Miller to respond: "My president? He's our president, he's the president of the United States."

Rye fired back: "Not mine. I will never claim a bigot, ever."

The two devolved into personal insults, calling each other "rude" as host Chris Cuomo looked on.

Rye has a history of stoking conservative outrage as a CNN panelist.

In March, a CNN panel escalated into a yelling match when Rye confronted right-wing radio host and former congressman Joe Walsh over a tweet he had posted which said the US "lowered the bar" for former President Barack Obama."